If the product of the zeroes of the polynomial (ax² – 6x – 6) is 4, find the value of a.

Question

If the product of the zeroes of the polynomial (ax 2 – 6x – 6) is 4, find the value of a.

Philoid · Accepted Answer

To Find: a

Given: Polynomial = (ax² – 6x – 6)

Concept Used:

For a quadratic polynomial,

P(x) = ax² + bx + c

Sum of the roots

The product of roots

Explanation:

–6 = 4a

Hence, the value of a is –3/2.

If the product of the zeroes of the polynomial (ax2 – 6x – 6) is 4, find the value of a.